TakeHome - 185 2 199 26 213 20 226 20 229 20 Extra Credit...

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Take-home test. October 29, 2009 Hand in November 3, 2009. You will be graded 50% on exposition and 50% on correctness. Thus, a correct solution will not receive full credit unless all assumptions and all reasoning are explained briefly and precisely in full sentences. On the other hand, if you describe carefully and clearly what you are attempting to do, you may receive substantial credit even if you fail to find a solution. You may use any source you wish, but you must write your paper on your own, with no reference to another student s paper. No two papers should contain identical phrasing. If I find identical phrases on two papers, I may decide to question both authors. (In effect, your test will become partly oral.) Do the following problems: Page problem
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Unformatted text preview: 185 2 199 26 213 20 226 20 229 20 Extra Credit Problem. A jar contains k red beads and n-k white beads. a) Beads are drawn one at a time with replacement until k red beads have been drawn. On average, how many beads must be drawn? b) Suppose m beads are removed without replacement. On average, how many red beads are obtained? c) Beads are removed one at a time without replacement until all k of the red beads are obtained. On average, how many beads are taken? Comments. Your book (section 5.3) includes formulae directly applicable to parts a) and b), rendering these parts quite easy. But it does not discuss a method directly applicable to part c). For this part, you must use your basic knowledge of discrete probability to formulate your own approach....
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This note was uploaded on 11/29/2011 for the course MATH 3355 taught by Professor Britt during the Spring '08 term at LSU.

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